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Simplifying 5x + -6 + 4(2x + 3) = 0 Reorder the terms: 5x + -6 + 4(3 + 2x) = 0 5x + -6 + (3 * 4 + 2x * 4) = 0 5x + -6 + (12 + 8x) = 0 Reorder the terms: -6 + 12 + 5x + 8x = 0 Combine like terms: -6 + 12 = 6 6 + 5x + 8x = 0 Combine like terms: 5x + 8x = 13x 6 + 13x = 0 Solving 6 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 13x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 13x = 0 + -6 13x = 0 + -6 Combine like terms: 0 + -6 = -6 13x = -6 Divide each side by '13'. x = -0.4615384615 Simplifying x = -0.4615384615
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